Previous year Main page Next year

Year 2013

D. N. Azarov, D. V. Goltsov On the virtually residually p-finiteness of free products of groups with one amalgamated finite subgroup

The necessary and sufficient condition for free product with one amalgamated finite subgroup to be virtually residually a finite p-group is obtained.

Full text (Russian) (PDF, 135 Kb)

A. A. Kopteva, Ye. V. Sokolov Some residual properties of HNN-extensions of groups

Let X be a class of groups satisfying certain conditions. The sufficient condition is proved for a HNN-extension of G to be residually X. The description of X-separable cyclic subgroups of group G is also obtained.

Full text (Russian) (PDF, 158 Kb)

A. V. Rozov On the residual p-finiteness of free products of nilpotent groups of finite rank with central amalgamated subgroups

The necessary and sufficient condition for free product of nilpotent groups of finite rank with central amalgamated subgroups to be residually a finite p-group is obtained.

Full text (Russian) (PDF, 148 Kb)

Ye. A. Tumanova On the residual \pi-finiteness of HNN-extensions of groups

Some necessary and sufficient conditions for the HNN-extension with coincident associated subgroups which are normal in base group to be residually a finite \pi-group are obtained.

Full text (Russian) (PDF, 136 Kb)

S. I. Khashin Multiple factors of pseudoprime numbers

The properties of the multiple factors of pseudoprime numbers are proved. The main results are theorems 3, 4, 5. Tables 1 and 2 are of great interest in practical calculations.

Full text (Russian) (PDF, 144 Kb)

N. I. Yatskin Article about the article (Some near mathematical reflections on the scientific fate of the well-known paper by academician A. I. Mal'tsev «Homomorphisms onto finite groups»)

The article analyzes some aspects of the scientific fate of one of the most famous works by academician A. I. Mal'tsev «Homomorphisms onto finite groups». For the first time this work was published in 1958 in Ivanovo State Pedagogical Institute Scientific Memoirs.

Full text (Russian) (PDF, 312 Kb)



Previous year Main page Next year